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Quadratic twists of elliptic curves with 3-Selmer rank 1

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Publication:2876599
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DOI10.1142/S1793042114500213zbMath1297.14037arXiv1311.5306MaRDI QIDQ2876599

Zane Kun Li

Publication date: 19 August 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.5306

zbMATH Keywords

elliptic curvequadratic twistSelmer groupGoldfeld conjecture


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)


Related Items

\(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field



Cites Work

  • Unnamed Item
  • Rational torsion on optimal curves and rank-one quadratic twists
  • On the Birch-Swinnerton-Dyer quotients modulo squares
  • Rank-one twists of a certain elliptic curve
  • Non-vanishing of quadratic twists of modular \(L\)-functions
  • Canonical periods and congruence formulae
  • The Arithmetic of Elliptic Curves
  • Elementary 3-descent with a 3-isogeny
  • Ranks of quadratic twists of an elliptic curve
  • Iwasawa invariants and class numbers of quadratic fields for the prime 3
  • Arithmetical Properties of Polynomials
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